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Amity School of Engineering
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Control Systems
10ES43
CONTROL SYSTEMS
(Common to EC/TC/EE/IT/BM/ML)
Sub Code: 10ES43
Hrs/ Week: 04
Total Hrs: 52
IA Marks : 25
Exam Hours : 03
Marks : 100
UNIT 1:
Modeling of Systems: Introduction to Control Systems, Types of Control Systems, Effect of
Feedback Systems, Differential equation of Physical Systems -Mechanical systems, Friction,
Translational systems (Mechanical accelerometer, systems excluded), Rotational systems, Gear
trains, Electrical systems, Analogous systems.
7 Hrs
UNIT 2:
Block diagrams and signal flow graphs: Transfer functions, Block diagram algebra, Signal
Flow graphs (State variable formulation excluded),
6 Hrs
UNIT 3:
Time Response of feedback control systems: Standard test signals, Unit step response of First
and second order systems, Time response specifications, Time response specifications of second
order systems, steady123– state errors and error constants. Introduction to PID Controllers
(excluding design)
7 Hrs
UNIT 4:
Stability analysis: Concepts of stability, Necessary conditions for Stability, Routh- stability
criterion, Relative stability analysis; more on the Routh stability criterion.
6 Hrs
UNIT 5:
Root–Locus Techniques: Introduction, The root locus concepts,Construction of root loci 6 Hrs
UNIT 6:
Frequency domain analysis: Correlation between time and frequency response, Bode plots,
Experimental determination of transfer functions, Assessment of relative stability using Bode
Plots. Introduction to lead, lag and lead-lag compensating networks (excluding design).
7 Hrs
UNIT 7:
Stability in the frequency domain: Introduction to Polar Plots, (Inverse Polar Plots excluded)
Mathematical preliminaries, Nyquist Stability criterion, Assessment of relative stability using
Nyquist criterion, (Systems with transportation lag excluded).
7 Hrs
UNIT 8:
Introduction to State variable analysis: Concepts of state, state variable and state models for
electrical systems, Solution of state equations.
6 Hrs
ECE/SJBIT
Page 1

Control Systems
10ES43
TEXT BOOK :
1. J. Nagarath and M.Gopal, ―Control Systems Engineering‖, New Age
International (P) Limited, Publishers, Fourth edition – 2005
REFERENCE BOOKS:
1. “Modern Control Engineering “, K. Ogata, Pearson Education Asia/
PHI, 4th Edition, 2002.
2. “Automatic Control Systems”, Benjamin C. Kuo, John Wiley India
Pvt. Ltd., 8th Edition, 2008.
3. “Feedback and Control System”, Joseph J Distefano III et al.,
Schaum‘s Outlines, TMH, 2nd Edition 2007.
ECE/SJBIT
Page 2

Control Systems
10ES43
INDEX SHEET
SL.NO TOPIC
PAGE
No.
5-26
I
1.1
1.2
1.3
1.4
1.5
1.6
UNIT 1:Modeling of Systems
Introduction to Control Systems, Types of Control Systems
Effect of Feedback Systems
Differential equation of Physical Systems -Mechanical systems, Friction
Translational systems (Mechanical accelerometer, systems excluded)
Rotational systems , Gear trains
Electrical systems, Analogous systems
II
UNIT–2 : Block diagrams and signal flow graphs
2.1
2.2
2.3
Transfer functions
Block diagram algebra
Signal Flow graphs (State variable formulation excluded)
III
UNIT – 3 :Time Response of feedback control systems
3.1
3.2
3.3
3.4
3.5
3.6
3.7
Standard test signals
Unit step response of first order systems
Unit step response of second order systems
Time response specifications
Time response specifications of second order systems
steady23 – state errors and error constants)
Introduction to PID Controllers (excluding design)
IV
UNIT – 4 : Stability analysis
4.1
4.2
4.3
Concepts of stability, Necessary conditions for Stability
Routh- stability criterion
Relative stability analysis; More on the Routh stability criterion.
V
UNIT – 5 : Root–Locus Techniques
5.1
5.2
VI
6.1
6.2
6.3
6.4
VII
Introduction, The root locus concepts
Construction of root loci (problems)
140-175
UNIT – 6 : Frequency domain analysis
Correlation between time and frequency response
Bode plots
Experimental determination of transfer functions
Assessment of relative stability using Bode Plots
Introduction to lead, lag and lead-lag compensating networks (excluding
design)
176-188
UNIT – 7 : Stability in the frequency domain
7.1
Introduction to Polar Plots,(Inverse Polar Plots excluded)
6.5
ECE/SJBIT
27-47
48-90
91-116
117-139
Page 3

Control Systems
7.2
7.3
7.4
VIII
8.1
8.2
8.3
10ES43
Mathematical preliminaries
Nyquist Stability criterion
Assessment of relative stability using Nyquist criterion, (Systems with
transportation lag excluded)
189-208
UNIT – 8 : Introduction to State variable analysis
Concepts of state, state variable
Concepts of state models for electrical systems
Solution of state equations
ECE/SJBIT
Page 4

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